Ranked set sampling: cost and optimal set size.

Ramzi W Nahhas; Douglas A Wolfe; Haiying Chen

doi:10.1111/j.0006-341x.2002.00964.x

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Ranked set sampling: cost and optimal set size.

Ramzi W Nahhas·Douglas A Wolfe·Haiying Chen

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Abstract

McIntyre (1952, Australian Journal of Agricultural Research 3, 385-390) introduced ranked set sampling (RSS) as a method for improving estimation of a population mean in settings where sampling and ranking of units from the population are inexpensive when compared with actual measurement of the units. Two of the major factors in the usefulness of RSS are the set size and the relative costs of the various operations of sampling, ranking, and measurement. In this article, we consider ranking error models and cost models that enable us to assess the effect of different cost structures on the optimal set size for RSS. For reasonable cost structures, we find that the optimal RSS set sizes are generally larger than had been anticipated previously. These results will provide a useful tool for determining whether RSS is likely to lead to an improvement over simple random sampling in a given setting and, if so, what RSS set size is best to use in this case.

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Absorptiometry, Photon Bone Density Costs and Cost Analysis Humans Models, Statistical Research Design Sampling Studies Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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Ramzi W Nahhas, Douglas A Wolfe, Haiying Chen. 2002. Ranked set sampling: cost and optimal set size.. https://doi.org/10.1111/j.0006-341x.2002.00964.x

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